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Finding the Third Proportional to 733,999 and 1,072,675

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Solution

The third proportional to 733,999 and 1,072,675 is: 1,567,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,999 : 1,072,675 = 1,072,675 : x
  2. Step 2: Convert to fraction form
    733,999/1,072,675 = 1,072,675/x
  3. Step 3: Cross multiply
    733,999x = 1,072,675 × 1,072,675
  4. Step 4: Simplify right side
    733,999x = 1,150,631,655,625
  5. Step 5: Solve for x
    x = 1,150,631,655,625/733,999
  6. Step 6: Final answer
    x = 1,567,620.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.